Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 48112 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ | 0.6552 | 0.8131 | 0.8058 | [X:[], M:[1.054, 0.73, 0.838, 1.162, 1.054], q:[0.5065, 0.4395], qb:[0.7635, 0.3985], phi:[0.473]] | [X:[], M:[[4], [-20], [-12], [12], [4]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ M_1$, $ M_5$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2^2$, $ \phi_1q_1^2$, $ M_2M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ q_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_2M_4$, $ M_3M_5$, $ M_5q_1\tilde{q}_2$ | $M_2\phi_1\tilde{q}_2^2$ | t^2.19 + t^2.51 + t^2.71 + 2*t^3.16 + t^3.49 + t^3.61 + t^3.81 + t^3.93 + t^4.06 + t^4.13 + t^4.26 + t^4.38 + t^4.46 + t^4.7 + t^4.9 + t^5.03 + t^5.23 + 2*t^5.35 + t^5.43 + 2*t^5.68 + t^5.88 - t^6. + t^6.12 + t^6.25 + 3*t^6.32 + t^6.45 + t^6.52 + 2*t^6.57 + 3*t^6.65 + 2*t^6.77 + t^6.85 + t^6.89 + 2*t^6.97 + t^7.1 + t^7.17 + 2*t^7.22 + t^7.3 + t^7.42 + 3*t^7.54 + 2*t^7.62 + t^7.67 + t^7.74 + 3*t^7.87 + 2*t^7.94 + t^7.99 + t^8.07 + t^8.11 + t^8.14 + t^8.27 + t^8.31 + t^8.44 + t^8.51 + 2*t^8.59 + t^8.64 - t^8.71 + 2*t^8.76 + 2*t^8.84 + t^8.92 + t^8.96 - t^4.42/y - t^6.61/y + t^7.26/y - t^7.58/y + t^7.7/y + t^7.9/y + (2*t^8.23)/y + (2*t^8.35)/y + (3*t^8.68)/y + (2*t^8.88)/y - t^4.42*y - t^6.61*y + t^7.26*y - t^7.58*y + t^7.7*y + t^7.9*y + 2*t^8.23*y + 2*t^8.35*y + 3*t^8.68*y + 2*t^8.88*y | t^2.19/g1^20 + t^2.51/g1^12 + g1^30*t^2.71 + 2*g1^4*t^3.16 + g1^12*t^3.49 + t^3.61/g1^22 + g1^20*t^3.81 + t^3.93/g1^14 + t^4.06/g1^48 + g1^28*t^4.13 + t^4.26/g1^6 + t^4.38/g1^40 + g1^36*t^4.46 + t^4.7/g1^32 + g1^10*t^4.9 + t^5.03/g1^24 + g1^18*t^5.23 + (2*t^5.35)/g1^16 + g1^60*t^5.43 + (2*t^5.68)/g1^8 + g1^34*t^5.88 - t^6. + t^6.12/g1^34 + t^6.25/g1^68 + 3*g1^8*t^6.32 + t^6.45/g1^26 + g1^50*t^6.52 + (2*t^6.57)/g1^60 + 3*g1^16*t^6.65 + (2*t^6.77)/g1^18 + g1^58*t^6.85 + t^6.89/g1^52 + 2*g1^24*t^6.97 + t^7.1/g1^10 + g1^66*t^7.17 + (2*t^7.22)/g1^44 + g1^32*t^7.3 + t^7.42/g1^2 + (3*t^7.54)/g1^36 + 2*g1^40*t^7.62 + t^7.67/g1^70 + g1^6*t^7.74 + (3*t^7.87)/g1^28 + 2*g1^48*t^7.94 + t^7.99/g1^62 + g1^14*t^8.07 + t^8.11/g1^96 + g1^90*t^8.14 + g1^56*t^8.27 + t^8.31/g1^54 + t^8.44/g1^88 + t^8.51/g1^12 + 2*g1^64*t^8.59 + t^8.64/g1^46 - g1^30*t^8.71 + (2*t^8.76)/g1^80 + (2*t^8.84)/g1^4 + g1^72*t^8.92 + t^8.96/g1^38 - t^4.42/(g1^2*y) - t^6.61/(g1^22*y) + t^7.26/(g1^6*y) - (g1^2*t^7.58)/y + t^7.7/(g1^32*y) + (g1^10*t^7.9)/y + (2*g1^18*t^8.23)/y + (2*t^8.35)/(g1^16*y) + (3*t^8.68)/(g1^8*y) + (2*g1^34*t^8.88)/y - (t^4.42*y)/g1^2 - (t^6.61*y)/g1^22 + (t^7.26*y)/g1^6 - g1^2*t^7.58*y + (t^7.7*y)/g1^32 + g1^10*t^7.9*y + 2*g1^18*t^8.23*y + (2*t^8.35*y)/g1^16 + (3*t^8.68*y)/g1^8 + 2*g1^34*t^8.88*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 55550 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_4M_6$ | 0.6694 | 0.8378 | 0.799 | [X:[], M:[1.0556, 0.7218, 0.8331, 1.1669, 1.0556, 0.8331], q:[0.5143, 0.4301], qb:[0.7639, 0.403], phi:[0.4722]] | t^2.17 + 2*t^2.5 + t^2.75 + 2*t^3.17 + t^3.58 + t^3.83 + t^3.92 + t^4. + t^4.17 + t^4.25 + t^4.33 + t^4.5 + 2*t^4.66 + t^4.92 + 3*t^5. + 2*t^5.25 + 2*t^5.33 + t^5.5 + 3*t^5.67 + t^5.92 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 55563 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6759 | 0.8533 | 0.7921 | [X:[], M:[1.0537, 0.7316, 0.839, 1.161, 1.0537, 0.6879], q:[0.505, 0.4414], qb:[0.7634, 0.3976], phi:[0.4732]] | t^2.06 + t^2.19 + t^2.52 + t^2.71 + 2*t^3.16 + t^3.48 + t^3.61 + t^3.81 + t^4.07 + 2*t^4.13 + 2*t^4.26 + t^4.39 + t^4.45 + t^4.58 + t^4.71 + t^4.77 + t^4.9 + t^5.03 + 3*t^5.22 + 2*t^5.36 + t^5.42 + t^5.55 + 3*t^5.68 + 2*t^5.87 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 55570 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6751 | 0.8503 | 0.7939 | [X:[], M:[1.0552, 0.7242, 0.8345, 1.1655, 1.0552, 0.7242], q:[0.512, 0.4329], qb:[0.7638, 0.4017], phi:[0.4724]] | 2*t^2.17 + t^2.5 + t^2.74 + 2*t^3.17 + t^3.5 + t^3.59 + t^3.92 + t^4.01 + t^4.16 + t^4.25 + 3*t^4.35 + t^4.49 + 2*t^4.68 + 2*t^4.91 + t^5.01 + t^5.24 + 4*t^5.34 + t^5.48 + 3*t^5.67 + t^5.76 + t^5.91 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 55603 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6483 | 0.8029 | 0.8074 | [X:[], M:[1.0593, 0.7034, 0.8221, 1.1779, 1.0593, 1.0551], q:[0.5317, 0.4089], qb:[0.7648, 0.4131], phi:[0.4703]] | t^2.11 + t^2.47 + t^3.17 + 2*t^3.18 + t^3.52 + t^3.53 + t^3.86 + t^3.88 + t^3.89 + t^4.22 + t^4.23 + t^4.25 + t^4.58 + t^4.6 + t^4.93 + t^5.28 + 2*t^5.29 + t^5.63 + 2*t^5.64 + t^5.97 + t^5.99 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 55538 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1^2$ + $ q_1^2\tilde{q}_2^2$ + $ M_2X_1$ | 0.624 | 0.7615 | 0.8194 | [X:[1.3333], M:[1.0667, 0.6667, 0.8, 1.2, 1.0667], q:[0.5667, 0.3667], qb:[0.7667, 0.4333], phi:[0.4667]] | t^2.4 + t^3. + 2*t^3.2 + t^3.4 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5.6 - t^4.4/y - t^4.4*y | detail | {a: 78/125, c: 1523/2000, X1: 4/3, M1: 16/15, M2: 2/3, M3: 4/5, M4: 6/5, M5: 16/15, q1: 17/30, q2: 11/30, qb1: 23/30, qb2: 13/30, phi1: 7/15} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 46544 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ | 0.6603 | 0.8216 | 0.8036 | [X:[], M:[1.0547, 0.7265, 0.8359, 1.1641], q:[0.5099, 0.4354], qb:[0.7637, 0.4004], phi:[0.4726]] | t^2.18 + t^2.51 + t^2.73 + t^2.84 + t^3.16 + t^3.49 + t^3.6 + t^3.82 + t^3.93 + t^4.03 + t^4.15 + t^4.25 + t^4.36 + t^4.48 + t^4.69 + t^4.91 + 2*t^5.02 + t^5.24 + 2*t^5.34 + t^5.46 + t^5.57 + 2*t^5.67 - t^4.42/y - t^4.42*y | detail |